Universality class of the mode-locked glassy random laser
By means of enhanced Monte Carlo numerical simulations parallelized on GPUs we study the critical properties of the spin-glass-like model for the mode-locked glassy random laser, a $4$-spin model with complex spins with a global spherical constraint and quenched random interactions. Implementing tw...
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| Format: | Article |
| Language: | English |
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SciPost
2023-06-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.14.6.144 |
| _version_ | 1797810182819938304 |
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| author | Jacopo Niedda, Giacomo Gradenigo, Luca Leuzzi, Giorgio Parisi |
| author_facet | Jacopo Niedda, Giacomo Gradenigo, Luca Leuzzi, Giorgio Parisi |
| author_sort | Jacopo Niedda, Giacomo Gradenigo, Luca Leuzzi, Giorgio Parisi |
| collection | DOAJ |
| description | By means of enhanced Monte Carlo numerical simulations parallelized on GPUs we study the critical properties of the spin-glass-like model for the mode-locked glassy random laser, a $4$-spin model with complex spins with a global spherical constraint and quenched random interactions. Implementing two different boundary conditions for the mode frequencies we identify the critical points and the critical indices of the random lasing phase transition with finite size scaling techniques.
The outcome of the scaling analysis is that the mode-locked random laser universality class is compatible with a mean-field one, though different from the mean-field class of the Random Energy Model and of the glassy random laser in the narrow band approximation, that is, the fully connected version of the present model.
The low temperature (high pumping) phase is finally characterized by means of the overlap distribution and evidence for the onset of replica symmetry breaking in the lasing regime is provided. |
| first_indexed | 2024-03-13T07:04:23Z |
| format | Article |
| id | doaj.art-58da3084b8854238b16173e9bcfbeb9e |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-03-13T07:04:23Z |
| publishDate | 2023-06-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-58da3084b8854238b16173e9bcfbeb9e2023-06-06T12:18:46ZengSciPostSciPost Physics2542-46532023-06-0114614410.21468/SciPostPhys.14.6.144Universality class of the mode-locked glassy random laserJacopo Niedda, Giacomo Gradenigo, Luca Leuzzi, Giorgio ParisiBy means of enhanced Monte Carlo numerical simulations parallelized on GPUs we study the critical properties of the spin-glass-like model for the mode-locked glassy random laser, a $4$-spin model with complex spins with a global spherical constraint and quenched random interactions. Implementing two different boundary conditions for the mode frequencies we identify the critical points and the critical indices of the random lasing phase transition with finite size scaling techniques. The outcome of the scaling analysis is that the mode-locked random laser universality class is compatible with a mean-field one, though different from the mean-field class of the Random Energy Model and of the glassy random laser in the narrow band approximation, that is, the fully connected version of the present model. The low temperature (high pumping) phase is finally characterized by means of the overlap distribution and evidence for the onset of replica symmetry breaking in the lasing regime is provided.https://scipost.org/SciPostPhys.14.6.144 |
| spellingShingle | Jacopo Niedda, Giacomo Gradenigo, Luca Leuzzi, Giorgio Parisi Universality class of the mode-locked glassy random laser SciPost Physics |
| title | Universality class of the mode-locked glassy random laser |
| title_full | Universality class of the mode-locked glassy random laser |
| title_fullStr | Universality class of the mode-locked glassy random laser |
| title_full_unstemmed | Universality class of the mode-locked glassy random laser |
| title_short | Universality class of the mode-locked glassy random laser |
| title_sort | universality class of the mode locked glassy random laser |
| url | https://scipost.org/SciPostPhys.14.6.144 |
| work_keys_str_mv | AT jacoponieddagiacomogradenigolucaleuzzigiorgioparisi universalityclassofthemodelockedglassyrandomlaser |